„I have throughout introduced the Integral Calculus in connexion with the Differential Calculus. …Is it always proper to learn every branch of a direct subject before anything connected with the inverse relation is considered? If so why are not multiplication and involution in arithmetic made to follow addition and precede subtraction?“

The portion of the Integral Calculus, which properly belongs to any given portion of the Differential Calculus increases its power a hundred-fold...
The Differential and Integral Calculus (1836)

Obtenido de Wikiquote. Última actualización 3 de Junio de 2021. Historia
Augustus De Morgan Foto
Augustus De Morgan8
1806 - 1871

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Augustus De Morgan Foto
Albert Einstein Foto

„I never failed in mathematics. Before I was fifteen I had mastered differential and integral calculus.“

—  Albert Einstein German-born physicist and founder of the theory of relativity 1879 - 1955

Response to being shown a "Ripley's Believe It or Not!" column with the headline "Greatest Living Mathematician Failed in Mathematics" in 1935. Quoted in Einstein: His Life and Universe by Walter Isaacson (2007), p. 16 http://books.google.com/books?id=cdxWNE7NY6QC&lpg=PP1&pg=PA16#v=onepage&q&f=false
1930s

„The calculus is probably the most useful single branch of mathematics. …I have found the ability to do simple calculus, easily and reliably, was the most valuable part of mathematics I ever learned.“

—  Richard Hamming American mathematician and information theorist 1915 - 1998

Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)

Augustus De Morgan Foto
Elie Wiesel Foto

„I believe mysticism is a very serious endeavor. One must be equipped for it. One doesn't study calculus before studying arithmetic.“

—  Elie Wiesel writer, professor, political activist, Nobel Laureate, and Holocaust survivor 1928 - 2016

As quoted in "10 Questions for Elie Wiesel" by Jeff Chu in TIME (22 January 2006) http://www.time.com/time/magazine/article/0,9171,1151803,00.html
Contexto: I believe mysticism is a very serious endeavor. One must be equipped for it. One doesn't study calculus before studying arithmetic. In my tradition, one must wait until one has learned a lot of Bible and Talmud and the Prophets to handle mysticism. This isn't instant coffee. There is no instant mysticism.

Richard Dedekind Foto
Marshall McLuhan Foto

„The uniformity and repeatability of print created the “political arithmetic” of the seventeenth century and the “hedonistic calculus” of the eighteenth.“

—  Marshall McLuhan Canadian educator, philosopher, and scholar-- a professor of English literature, a literary critic, and a communicat... 1911 - 1980

Fuente: 1960s, The Gutenberg Galaxy (1962), p. 237

Duncan Gregory Foto

„In this chapter I shall collect those Theorems in the Differential Calculus which, depending only on the laws of combination of the symbols of differentiation, and not on the functions which are operated on by these symbols, may be proved by the method of the separation of the symbols : but as the principles of this method have not as yet found a place in the elementary works on the Calculus, I shall first state? briefly the theory on which it is founded.“

—  Duncan Gregory British mathematician 1813 - 1844

Fuente: Examples of the processes of the differential and integral calculus, (1841), p. 237; Lead paragraph of Ch. XV, On General Theorems in the Differential Calculus,; Cited in: James Gasser (2000) A Boole Anthology: Recent and Classical Studies in the Logic of George Boole,, p. 52

Carl Friedrich Gauss Foto

„The principle that the sum of the squares of the differences between the observed and computed quantities must be a minimum may, in the following manner, be considered independently of the calculus of probabilities.“

—  Carl Friedrich Gauss German mathematician and physical scientist 1777 - 1855

Theoria motus corporum coelestium in sectionibus conicis solem ambientum (1809) Tr. Charles Henry Davis as Theory of the Motion of the Heavenly Bodies moving about the Sun in Conic Sections http://books.google.com/books?id=cspWAAAAMAAJ& (1857)
Contexto: The principle that the sum of the squares of the differences between the observed and computed quantities must be a minimum may, in the following manner, be considered independently of the calculus of probabilities. When the number of unknown quantities is equal to the number of the observed quantities depending on them, the former may be so determined as exactly to satisfy the latter. But when the number of the former is less than that of the latter, an absolutely exact agreement cannot be obtained, unless the observations possess absolute accuracy. In this case care must be taken to establish the best possible agreement, or to diminish as far as practicable the differences. This idea, however, from its nature, involves something vague. For, although a system of values for the unknown quantities which makes all the differences respectively less than another system, is without doubt to be preferred to the latter, still the choice between two systems, one of which presents a better agreement in some observations, the other in others, is left in a measure to our judgment, and innumerable different principles can be proposed by which the former condition is satisfied. Denoting the differences between observation and calculation by A, A’, A’’, etc., the first condition will be satisfied not only if AA + A’ A’ + A’’ A’’ + etc., is a minimum (which is our principle) but also if A4 + A’4 + A’’4 + etc., or A6 + A’6 + A’’6 + etc., or in general, if the sum of any of the powers with an even exponent becomes a minimum. But of all these principles ours is the most simple; by the others we should be led into the most complicated calculations.

„The method has the form of the now-standard method of differential calculus, though it begs entirely the difficult theory of limits.“

—  Morris Kline American mathematician 1908 - 1992

Fuente: Mathematical Thought from Ancient to Modern Times (1972), p. 346
Contexto: Fermat applied his method of tangents to many difficult problems. The method has the form of the now-standard method of differential calculus, though it begs entirely the difficult theory of limits.

Richard von Mises Foto

„Remember that algebra, with all its deep and intricate problems, is nothing but a development of the four fundamental operations of arithmetic. Everyone who understands the meaning of addition, subtraction, multiplication, and division holds the key to all algebraic problems.“

—  Richard von Mises Austrian physicist and mathematician 1883 - 1953

Second Lecture, The Elements of the Theory of Probability, p. 38
Probability, Statistics And Truth - Second Revised English Edition - (1957)

Mwanandeke Kindembo Foto
Richard Dedekind Foto
Emmy Noether Foto

„I have completely forgotten the symbolic calculus.“

—  Emmy Noether German mathematician 1882 - 1935

Original: (de) Ich habe das symbolische Rechnen mit Stumpf und Stil verlernt.

Habilitation curriculum vitae (1919) submitted to the Göttingen Faculty, as quoted by Peter Roquette, "Emmy Noether and Hermann Weyl" (Jan. 28, 2008) extended manuscript of a talk presented at the Hermann Weyl conference in Bielefeld, September 10, 2006.

Emmy Noether Foto

„I have completely forgotten the symbolic calculus.“

—  Emmy Noether German mathematician 1882 - 1935

Letter to , "Emmy Noether and Hermann Weyl" (Jan. 28, 2008) extended manuscript of a talk presented at the Hermann Weyl conference in Bielefeld, September 10, 2006.

Antonin Artaud Foto
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